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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/13207

Title: On the non-local hydrodynamic-type system and its soliton-like solution
Authors: Kutafina, Ekaterina
Vladimirov, V.A.
Zorychta, B.
Issue Date: 2012
Citation: Journal of Physics A-Mathematical and Theoretical, 45 (8)
Abstract: We consider a hydrodynamic system of balance equations for mass and momentum. This system is closed by the dynamic equation of state, taking into account the effects of spatio-temporal non-localities. Using group theory reduction, we obtain a system of ODEs, describing a set of approximate traveling wave solutions to the source system. The factorized system, containing a small parameter, proves to be Hamiltonian when the parameter is zero. Using Melnikov's method, we show that the factorized system possesses, in general, a one-parameter family of homoclinic loops, corresponding to the approximate soliton-like solutions of the source system.
URI: http://hdl.handle.net/1942/13207
DOI: 10.1088/1751-8113/45/8/085210
ISI #: 000300606900012
ISSN: 1751-8113
Category: A1
Type: Journal Contribution
Appears in Collections: Dynamical Systems

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